Hidden glassy behaviors in an ideal Heisenberg Kagomé antiferromagnet

Dynamics of classical Heisenberg spins, ${\bf S}_i=({\bf s}_i,S_iz)$, on the Kagomé lattice has been studied. An ideal Heisenberg Kagomé antiferromagnet is known to remain disordered down to T=0 due to the macroscopic degeneracy of the ground state. Through the study, however, we find that ${\bf S}_i$ and their planar components ${\bf s}_i$ behave in a qualitatively different way and especially planar spins (${\bf s}_i$) show the exotic glass-like transition in the very low temperature $T\sim 0.003J$ ($J$: spin exchange). The glassy behaviors of ${\bf s}_i$ would be found to be driven by the spin-nematic fluctuations, different from ordinary spin glasses by disorders or anisotropies.